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Lombard Street in San Francisco is famously known for its use in car chases in movies. In the 1920s, a road builder changed the grade (slope) of the road from 27% to 14% to stay within the new city mandated maximum grade range of 12%-15%. The road reaches a height of 600 feet. Find the percentage length increase of the new road compared to the old road. Explain your work and your answer.